A band or strap adapted to be circumferentially fitted about the arm to alleviate the symptoms of tennis elbow. The band incorporates inwardly protruding means of limited circumferential extent for applying a radially directed pressure against that portion of the extensor muscle coextensive therewith when the arm band is circumferentially tensioned and fastened in place about the arm. In its preferred form, the means of limited circumferential extent consists of a semi-compressible, inflated air bag carried in a pocket in the arm band. The protruding air bag applies a radially directed pressure or compressive counterforce against the extensor muscle which is of greater magnitude that the pressure exerted against the other circumferential portions of the arm engaged directly by the arm band.